Maths - Online Test
Q1. If sin−1 x = 2 sin−1 α has a solution, then
Answer : Option A
Explaination / Solution:
Q2. A pair of dice numbered 1, 2, 3, 4, 5, 6 of a
six-sided die and 1, 2, 3, 4 of a four-sided die is rolled and the sum is
determined. Let the random variable X
denote this sum. Then the number of elements in the inverse image of 7 is
Answer : Option D
Explaination / Solution:
Q3. The length of the diameter
of the circle which touches the x -axis at the point (1,0) and passes through the point (2, 3)
Answer : Option C
Explaination / Solution:
Q4. If 
, 
, 
are three unit vectors such
that is perpendicular to , and is parallel to then x ( x ) is equal to
, , are three unit vectors such
that is perpendicular to , and is parallel to then x ( x ) is equal to
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. The point on the curve 6y = x3 + 2 at which y-coordinate changes 8 times as fast
as x-coordinate is
Answer : Option A
Explaination / Solution:
Q6. if 
, then 9I2 – A =
, then 9I2 – A =
Answer : Option D
Explaination / Solution:
Q7. If w( x, y
) = xy , x > 0 , then ∂w/∂x is equal to
Answer : Option C
Explaination / Solution:
Q8. If z= 
, then | z | is equal to
, then | z | is equal to
Answer : Option C
Explaination / Solution:
Q9. The value of 
is
is
Answer : Option D
Explaination / Solution:
Q10. The differential equation of the family of
curves y = Aex + Be−x , where A and B are arbitrary constants is
Answer : Option B
Explaination / Solution:
